Math Problem Statement
Solution
The image contains a table that requires converting values into scientific notation and categorizing them by order of magnitude. Let's break it down:
Here is a quick overview of the table structure:
- Grandezza (Quantity): Refers to the physical quantities like Earth's equatorial radius, mass of a whale, etc.
- Valore (Value): These are the numeric values that need to be converted into scientific notation.
- Notazione Scientifica (Scientific Notation): This is where you'll rewrite the values in the table using scientific notation.
- Ordine di grandezza (Order of Magnitude): This refers to the closest power of 10 for the scientific notation of the values.
The columns seem to list the following dataThe image contains a table that requires converting values into scientific notation and categorizing them by order of magnitude. Let's break it down:
Here is a quick overview of the table structure:
- Grandezza (Quantity): Refers to the physical quantities like Earth's equatorial radius, mass of a whale, etc.
- Valore (Value): These are the numeric values that need to be converted into scientific notation.
- Notazione Scientifica (Scientific Notation): This is where you'll rewrite the values in the table using scientific notation.
- Ordine di grandezza (Order of Magnitude): This refers to the closest power of 10 for the scientific notation of the values.
The columns seem to list the following
- Raggio equatoriale della Terra (Earth's equatorial radius): 6370 km →
- Altezza del monte Everest (Height of Mount Everest): 8848 m →
- Velocità di una tartaruga (Speed of a turtle): 0.076 m/s →
- Massa di una balena (Mass of a whale): 150,000 kg →
- Diametro di una molecola di DNA (Diameter of a DNA molecule): 0.000002 m →
- Numero di secondi in un anno (Number of seconds in a year): 31,536,000 s →
- Numero di vocaboli conosciuti da un bambino di 5 anni (Number of words known by a 5-year-old): 3000 →
- Numero di alveoli nei polmoni (Number of alveoli in the lungs): 300 million →
Would you like more details on any of these conversions?
Here are some related questions:
- How is scientific notation helpful in representing very large or small numbers?
- What is the difference between scientific notation and the order of magnitude?
- Can the order of magnitude change depending on rounding?
- Why do powers of ten simplify calculations in physics and engineering?
- How do you convert between scientific notation and standard notation?
Tip: When converting to scientific notation, always make sure the coefficient is between 1 and 10, and adjust the exponent accordingly.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Powers of 10
Order of Magnitude
Formulas
Scientific Notation: N × 10^n where 1 ≤ N < 10
Order of Magnitude: Closest power of 10 to a number
Theorems
Powers of Ten Theorem
Scientific Notation Conversion
Suitable Grade Level
Grades 9-12
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